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Finding the Fourth Proportional to 27,532.76, 41,274.09 and 9,998.51

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Solution

The fourth proportional to 27,532.76, 41,274.09 and 9,998.51 is: 14,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.76 : 41,274.09 = 9,998.51 : x
  2. Step 2: Convert to fraction form
    27,532.76/41,274.09 = 9,998.51/x
  3. Step 3: Cross multiply
    27,532.76x = 41,274.09 × 9,998.51
  4. Step 4: Simplify right side
    27,532.76x = 412,679,195.24
  5. Step 5: Solve for x
    x = 412,679,195.24/27,532.76
  6. Step 6: Final answer
    x = 14,988.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.